42732800 has 108 divisors (see below), whose sum is σ = 115575936. Its totient is φ = 15513600.

The previous prime is 42732793. The next prime is 42732829. The reversal of 42732800 is 823724.

It is a self number, because there is not a number n which added to its sum of digits gives 42732800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70097 + ... + 70703.

Almost surely, 2^42732800 is an apocalyptic number.

42732800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57787968).

42732800 is an abundant number, since it is smaller than the sum of its proper divisors (72843136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42732800 is a wasteful number, since it uses less digits than its factorization.

42732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 42732800 is about 6537.0329661093. The cubic root of 42732800 is about 349.6126326585.

The spelling of 42732800 in words is "forty-two million, seven hundred thirty-two thousand, eight hundred".